>
数学
>
若非零实数a、b满足4a
2
+b
2
=4ab,则
b
a
等于( )
A.
1
2
B.
1
3
C.
1
4
D. 2
人气:124 ℃ 时间:2019-08-22 15:42:33
解答
∵非零实数a、b满足4a
2
+b
2
=4ab,
∴4a
2
-4ab+b
2
=0,
∴(2a)
2
-4ab+b
2
=0,
∴(2a-b)
2
=0,
∴2a=b,
∴
a
b
=
1
2
.
∴
b
a
=2
.
故选D.
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